True or False: If false, give a counter example if true write a proof. Discrete Math

Question

For all positive integers m and n, with m<n if m divides (35n) then either m divides 35 or m divides n

Answer 1

false

40<48

40 divides 35*48

40 divides 1680

1680/40=42, but...

40 does not divide 35 and 40 dos not divide 48